2019
DOI: 10.1515/math-2019-0037
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Attractors of dynamical systems in locally compact spaces

Abstract: In this article the properties of attractors of dynamical systems in locally compact metric space are discussed. Existing conditions of attractors and related results are obtained by the near isolating block which we present.

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“…Stability is one of essential concepts in dynamical system theory, which has been considered by the researchers in many fields, such as [1][2][3][4][5][6][7][8], and [9][10][11][12]. For a linear system without delays, as is well known, the stability is related to the system matrix root-clustering in subregions of the complex plane.…”
Section: Introductionmentioning
confidence: 99%
“…Stability is one of essential concepts in dynamical system theory, which has been considered by the researchers in many fields, such as [1][2][3][4][5][6][7][8], and [9][10][11][12]. For a linear system without delays, as is well known, the stability is related to the system matrix root-clustering in subregions of the complex plane.…”
Section: Introductionmentioning
confidence: 99%